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Unformatted text preview: ? (d) Deduce that Z 35 = Z 5 Z 7 . (3 points) 5. Let G be a group and let : S 3 G be a homomorphism such that (( 1 2 )) = e G . (a) Prove that h ( 1 2 ) i ker and h ( 1 2 ) i 6 S 3 . (b) Determine ker (why is ker 6 = h ( 1 2 ) i ?) (c) Deduce that (( 1 3 )) = e G . (3 points) (5 problems, 11 points altogether)...
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 Fall '08
 PARRY
 Algebra, Sets

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